Toffees are bought at 4 for a rupee and the same number at 6 for a rupee. Then, they
are mixed and sold at 5 per rupee. What is the net profit or loss?
5*2x - (4x+6x)
Looks like a zero profit.
To solve this problem, let's consider the number of toffees bought at each price and the total cost and selling price.
Let's assume we buy x number of toffees.
At 4 for a rupee, the cost of x number of toffees would be x/4 rupees.
At 6 for a rupee, the cost of x number of toffees would be x/6 rupees.
The total cost of buying these toffees would be:
Total Cost = (x/4) + (x/6)
Now, let's calculate the selling price of these toffees.
The selling price of x number of toffees at 5 per rupee would be 5x.
To calculate the profit or loss, we need to compare the total cost with the selling price.
Profit/Loss = Selling Price - Total Cost
Profit/Loss = 5x - [(x/4) + (x/6)]
To simplify this, let's find a common denominator for (x/4) and (x/6).
The common denominator for 4 and 6 is 12.
Now, let's calculate the net profit or loss:
Profit/Loss = 5x - [(x/4) + (x/6)]
= 5x - [(3x/12) + (2x/12)]
= 5x - (5x/12)
= (60x/12) - (5x/12)
= (55x/12)
The net profit or loss is given by (55x/12).
Therefore, the net profit or loss depends on the value of x, the number of toffees bought.
To find the net profit or loss, we need to compare the cost price of the toffees with the selling price after mixing.
Let's assume that the number of toffees bought is 'x'. According to the information given, we can calculate the cost price (CP) and the selling price (SP) as follows:
- When bought at 4 for a rupee:
CP1 = x / 4 rupees
- When bought at 6 for a rupee:
CP2 = x / 6 rupees
Now, let's calculate the total cost price (TCP) and total selling price (TSP) after the toffees are mixed:
TCP = CP1 + CP2 = x / 4 + x / 6 = (3x + 2x) / 12 = 5x / 12 rupees
TSP = Selling price per toffee * x toffees = 5 * x / 1 = 5x rupees
To determine the net profit or loss, we need to compare the total selling price with the total cost price:
Profit or Loss = TSP - TCP = 5x - 5x / 12 = (60x - 5x) / 12 = 55x / 12 rupees
Therefore, the net profit or loss is 55x / 12 rupees. The exact amount will depend on the value of 'x'.